Show that an equation of the form Ax2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0 where A and C are of the same sign and F is of opposite sign, (a) is the equation of an ellipse with center at 10, 02 if A ≠ C. (b) is the equation of a circle with center 10, 02 if A = C.
Show that an equation of the form Ax2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0 where A and C are of the same sign and F is of opposite sign, (a) is the equation of an ellipse with center at 10, 02 if A ≠ C. (b) is the equation of a circle with center 10, 02 if A = C.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section: Chapter Questions
Problem 13T: Find an equation for the ellipse with center (2, 0), foci (2,3) and major axis of length 8.
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Show that an equation of the form
Ax2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0
where A and C are of the same sign and F is of opposite sign,
(a) is the equation of an ellipse with center at 10, 02 if
A ≠ C.
(b) is the equation of a circle with center 10, 02 if A = C.
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